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Finding the Third Proportional to 69.44 and 140.84

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Solution

The third proportional to 69.44 and 140.84 is: 285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.44 : 140.84 = 140.84 : x
  2. Step 2: Convert to fraction form
    69.44/140.84 = 140.84/x
  3. Step 3: Cross multiply
    69.44x = 140.84 × 140.84
  4. Step 4: Simplify right side
    69.44x = 19,836.96
  5. Step 5: Solve for x
    x = 19,836.96/69.44
  6. Step 6: Final answer
    x = 285.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.